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Chaotic systems are sensitive to initial conditions and chaotic parameters, and the chaotic sequences are non-periodic and pseudo-random. In recent years, chaotic systems are researched more in the field of cryptography. The paper produces chaotic stream based on logistic mapping, the application of chaos in block cipher is researched. An encryption algorithm is proposed in this paper. In the algorithm, logistic mapping's system parameter is produced by m-sequence, and using another m-sequence's perturbation to increase the period of logistic mapping sequence. There is also output feedback mechanism in the algorithm. According to experimental simulation and analysis, it implies that the algorithm has high security.